Question

part a
which equation shows the best way to use compatible numbers to estimate 550 ÷ 6?
a 500 ÷ 4 = 125
b 540 ÷ 6 = 90
c 600 ÷ 5 = 120
d 490 ÷ 7 = 70

Explanation:

Step1: Analyze the original expression

Original expression: $550 ÷ 6.2$. Compatible numbers should be close to the original values.

Step2: Compare with options

• A: $500÷4=125$ (500 far from 550, 4 far from 6.2)
• B: $540÷6=90$ (540 close to 550, 6 close to 6.2)
• C: $600÷5=120$ (600 far from 550, 5 far from 6.2)
• D: $490÷7=70$ (490 far from 550,7 far from 6.2)

B uses the closest compatible numbers.

Answer:

B. $540 ÷ 6 = 90$